References
- Chew, W. C. 1995. Waves and fields in inhomogenous media. New-York: IEEE Press.
- Colton, D., and R. Kress. 1983. Integral equation method in scattering theory. New York: John Wiley.
- Gintides, D., and L. Mindrinos. 2019. The inverse electromagnetic scattering problem by a penetrable cylinder at oblique incidence. Applicable Analysis 98 (67):781–98. doi:https://doi.org/10.1080/00036811.2017.1402891.
- Hegedus, G., and M. Kuczman. 2010. Calculation of the numerical solution of two-dimensional Helmholtz equation. Acta Technica Jaurinensis 3 (1):75–86. http://epa.niif.hu/02500/02537/00007/pdf/EPA02537_acta_technica_jaurinensis_2010_1_075-086.pdf.
- Kashirin, A. A., and S. I. Smagin. 2006. Generalized solutions of the integral equations of a scalar diffraction problem. Partial Differential Equations 42 (1):88–100. doi:https://doi.org/10.1134/S0012266106010071.
- Kleinman, R. E., and G. F. Roach. 1984. New integral equations for scattering by penetrable object, II. Radio Science 19 (5):1185–93. doi:https://doi.org/10.1029/RS019i005p01185.
- Knyazev, S. Y., E. E. Shcherbakova, and A. N. Zaichenko. 2014a. Numerical solution of the boundary problems with non-homogeneous Helmholtz equation by field point-source method. Russian Electromechanics 4:14–19. http://electromeh.npi-tu.ru/en/archive/2014/issue4/knyazev.
- Kong, B., P. Yla-Oijala, and A. Shivola. 2021. Surface integral equation method for soft-and-hard/DB boundary conditions. IEEE Transactions on Antennas and Propagation 69 (5):2790–97. doi:https://doi.org/10.1109/TAP.2020.3030919.
- Pereverzyev, S., and E. Schock. 2000. Morozov’s discrepancy principle for Tikhonov regularization of severly ill-posed problems in finite-dimensional subspaces. Numerical Functional Analysis and Optimization 21 (7):1–17. doi:https://doi.org/10.1080/01630560008816993.
- Petukhov, A. V. 2007. The barycentric finite volume method for 3D Helmholtz complex equation. Optoelectronics, Instrumentation and Data Processing 43 (2):182–91. doi:https://doi.org/10.3103/S8756699007020112.
- Qingjie, H., H. Yinnian, L. Tingting, and J. Wen. 2020. A mixed discontinuous Galerkin method for the Helmholtz equation. Mathematical Problems in Engineering 2020: Article Id 9582583. doi:https://doi.org/10.1155/2020/9582583.
- Rybin, O., S. Shulga, and O. Bagatska. 2021. Integral boundary conditions in studying a 2-D propagation problem of monochromatic waves using the finite difference method. In DIPED’2021: Proceedings of 26th the IEEE International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Tbilisi, Georgia. IEEE. doi:https://doi.org/10.1109/DIPED53165.2021.9552331
- Samarskii, A. A. 1977. Theory of difference schemes. Moscow: Nauka (in Russian).
- Solin, P., I. Dolezel, P. Karban, and B. Ulrich. 2009. Integral method in low-frequency electromagnetics. New York: Wiley.
- Sommerfeld, A. 1952. Electrodynamics. Lectures on theoretical physics, Pts. III and IV. New York: Academic Press.
- Sondergaard, T. N. 2019. Green’s function integral equation methods in nano-optics. Boca Raton, FL: CRC Press. Taylor & Francis Group.
- Spiridonov, A. O., E. M. Karchevskii, and A. I. Nosich. 2019. Mathematical and numerical modeling of on-threshold modes of 2-D microcavity lasers with piercing holes. Axioms 8 (3):101. doi:https://doi.org/10.3390/axioms8030101.
- Tong, M. S. 2017. Volume integral equation solvers for electromagnetic scattering by penetrable objects. Vol. IV in Electromagnetic scattering: A remote sensing perspective. Singapore: World Scientific.
- Tuncer, O., B. Shanker, and L. C. Kempel. 2014. A hybrid vector generalized finite element method for transient electromagnetic simulations. Electromagnetics 34 (3–4):286–97. doi:https://doi.org/10.1080/02726343.2014.877770.
- Vatulyan, A. O., O. V. Kovalev, and A. N. Soloviev. 2002. A new method of boundary integral conditions in boundary value problems for elliptic operators and its numerical implementation. Computing Technology 7 (1):54–65. in Russian http://www.ict.nsc.ru/jct/content/t7n1/Vatulyan.pdf.
- Volakis, J. L., and K. Sertel. 2012. Integral equation method for electromagnetics. Scitech Pub Inc: SciTech Publishing Inc.
- Wang, F. Z., and K. H. Zheng. 2014a. Analysis of the boundary knot method for 3D Helmholtz-type equation. Mathematical Problems in Engineering 2014 Article ID 853252. doi:https://doi.org/10.1155/2014/853252.
- Zhdanov, M. 2017. Foundations of geophysical electromagnetic theory and methods. 2-nd ed. Amsterdam, Netherlands: Elsevier.